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Finding the Fourth Proportional to 1,854.23, 2,781.74 and 621.74

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Solution

The fourth proportional to 1,854.23, 2,781.74 and 621.74 is: 932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.23 : 2,781.74 = 621.74 : x
  2. Step 2: Convert to fraction form
    1,854.23/2,781.74 = 621.74/x
  3. Step 3: Cross multiply
    1,854.23x = 2,781.74 × 621.74
  4. Step 4: Simplify right side
    1,854.23x = 1,729,527.54
  5. Step 5: Solve for x
    x = 1,729,527.54/1,854.23
  6. Step 6: Final answer
    x = 932.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.